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Finding the Third Proportional to 51,714 and 107,268

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Solution

The third proportional to 51,714 and 107,268 is: 222,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714 : 107,268 = 107,268 : x
  2. Step 2: Convert to fraction form
    51,714/107,268 = 107,268/x
  3. Step 3: Cross multiply
    51,714x = 107,268 × 107,268
  4. Step 4: Simplify right side
    51,714x = 11,506,423,824
  5. Step 5: Solve for x
    x = 11,506,423,824/51,714
  6. Step 6: Final answer
    x = 222,501.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.